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311301318908809 is a prime number
BaseRepresentation
bin100011011001000000111110…
…0100010000001101110001001
31111211020010010011021210200001
41012302001330202001232021
5311300330100120040214
63022025503541443001
7122366530612302205
oct10662017442015611
91454203104253601
10311301318908809
1190210169a08409
122aab8345a10461
1310491785983288
1456c30c8353b05
1525ec9dd39ec74
hex11b207c881b89

311301318908809 has 2 divisors, whose sum is σ = 311301318908810. Its totient is φ = 311301318908808.

The previous prime is 311301318908771. The next prime is 311301318908813. The reversal of 311301318908809 is 908809813103113.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 254517257238409 + 56784061670400 = 15953597^2 + 7535520^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-311301318908809 is a prime.

It is a super-2 number, since 2×3113013189088092 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 311301318908809.

It is not a weakly prime, because it can be changed into another prime (311301318908009) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 155650659454404 + 155650659454405.

It is an arithmetic number, because the mean of its divisors is an integer number (155650659454405).

Almost surely, 2311301318908809 is an apocalyptic number.

It is an amenable number.

311301318908809 is a deficient number, since it is larger than the sum of its proper divisors (1).

311301318908809 is an equidigital number, since it uses as much as digits as its factorization.

311301318908809 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1119744, while the sum is 55.

The spelling of 311301318908809 in words is "three hundred eleven trillion, three hundred one billion, three hundred eighteen million, nine hundred eight thousand, eight hundred nine".